[go: up one dir, main page]

Search a number
-
+
3110132220 = 22351323533271
BaseRepresentation
bin1011100101100000…
…1101100111111100
322000202021002100020
42321120031213330
522332143212340
61232340532140
7140033454606
oct27130154774
98022232306
103110132220
111356652408
127296b1050
133a7464b30
142170b4176
1513309a9d0
hexb960d9fc

3110132220 has 192 divisors, whose sum is σ = 9973684224. Its totient is φ = 718248960.

The previous prime is 3110132219. The next prime is 3110132227. The reversal of 3110132220 is 222310113.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3110132220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3110132227) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949185 + ... + 952455.

It is an arithmetic number, because the mean of its divisors is an integer number (51946272).

Almost surely, 23110132220 is an apocalyptic number.

3110132220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3110132220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4986842112).

3110132220 is an abundant number, since it is smaller than the sum of its proper divisors (6863552004).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3110132220 is a wasteful number, since it uses less digits than its factorization.

3110132220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 3110132220 is about 55768.5594219539. The cubic root of 3110132220 is about 1459.6865875078.

Adding to 3110132220 its reverse (222310113), we get a palindrome (3332442333).

The spelling of 3110132220 in words is "three billion, one hundred ten million, one hundred thirty-two thousand, two hundred twenty".